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Spherical functions and discrete series

Part of the Lecture Notes in Mathematics book series (LNM,volume 466)

Keywords

  • Compact Subgroup
  • Spherical Function
  • Discrete Series
  • Maximal Compact Subgroup
  • Hermitian Symmetric Space

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References

  1. Bargmann, V. Irreducible, unitary representations of the Lorentz group. Ann. of Math. 48 (1947), 562–640.

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  2. Dixmier, J. Les C*-algèbres et leurs représentations. Gauthier-Villars, Paris 1964.

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  3. Flensted-Jensen, M. The spherical functions on the universal covering of SU(n-1, 1)/SU(n-1). Preprint, Matematisk Institut, Copenhagen 1973.

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  4. Flensted-Jensen, M. Spherical functions on a simply-connected semisimple Lie group. Preprint, Matematisk Institut, Copenhagen, 1974.

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  5. Godement, R. Introduction aux travaux de A. Selberg. Seminaire Bourbaki, 1957.

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  6. Harish-Chandra, Spherical functions on semisimple Lie groups I+II. Amer. J. Math., 80 (1958), 241–310, 553–613.

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  7. Harish-Chandra, Discrete series for semisimple Lie groups, II. Acta Math. 116 (1966), 1–111.

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  8. Helgason, S. Differential geometry and symmetric spaces. Academic Press, New York 1962.

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  9. Pukanszky, L. The Plancherel formula for the universal covering group of SL(R,2). Math. Ann. 156 (1964), 96–143.

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© 1975 Springer-Verlag

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Flensted-Jensen, M. (1975). Spherical functions and discrete series. In: Carmona, J., Dixmier, J., Vergne, M. (eds) Non-Commutative Harmonic Analysis. Lecture Notes in Mathematics, vol 466. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082198

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  • DOI: https://doi.org/10.1007/BFb0082198

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07183-9

  • Online ISBN: 978-3-540-37524-1

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